One example is:
|Heads 1||Heads 2||Heads 3||Heads 4||Heads 5||Heads 6|
|Tails 1||Tails 2||Tails 3||Tails 4||Tails 5||Tails 6|
There are 6 possible die outcomes each having a further 2 coin outcomes, giving a combined outcome of 12 possibilities. Therefore the probability of throwing a six and 'heads' is one outcome in twelve: . If the problem was changed to the possibility of throwing an odd number and 'tails', the table will show that this may occur 3 times, (1 tails, 3 tails, 5 tails) out of twelve outcomes, and therefore the probability is reduces to 312, or .
Another example is:
In a drawer, there are some white socks and some black socks. Tim takes out one sock and then a second. Draw a tree diagram to show the possible outcomes.
Example 10 Solution: